5c^2+6c+1=0

Solution for 5c^2+6c+1=0 equation:

Simplifying
5c2 + 6c + 1 = 0

Reorder the terms:
1 + 6c + 5c2 = 0

Solving
1 + 6c + 5c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(1 + c)(1 + 5c) = 0

Subproblem 1
Set the factor '(1 + c)' equal to zero and attempt to solve:

Simplifying
1 + c = 0

Solving
1 + c = 0

Move all terms containing c to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + c = 0 + -1
c = 0 + -1

Combine like terms: 0 + -1 = -1
c = -1

Simplifying
c = -1
Subproblem 2
Set the factor '(1 + 5c)' equal to zero and attempt to solve:

Simplifying
1 + 5c = 0

Solving
1 + 5c = 0

Move all terms containing c to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 5c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5c = 0 + -1
5c = 0 + -1

Combine like terms: 0 + -1 = -1
5c = -1

Divide each side by '5'.
c = -0.2

Simplifying
c = -0.2
Solution
c = {-1, -0.2}